Anomalous, chiral Lagrangians of pseudoscalar, vector, and axial-vector mesons generated from quark loops

Abstract

The authors’ previously reported approach of producing the purely pseudoscalar Wess-Zumino anomalous action from a quark-loop expansion is extended to include, also, hadronic spin-one fields and the photon. A line of argument is presented which links QCD to an effective-Lagrangian model of quarks with nonlinearly transforming pseudoscalar mesons and other composite bosons. Several methods of modeling vector and axial-vector hadronic currents are reviewed, and a novel nonlinear treatment of the axial-vector currents is also introduced. The inclusion of the spin-one sector in the loop calculations is described. The loop calculations of three- and four-point functions are developed. ω→3π is calculated and compared to experiment and to the results of other works.